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Group-fair Facility Location Games with Externalities

  • Minming Li
  • , Cheng Peng
  • , Ying Wang
  • , Houyu Zhou*
  • *Corresponding author for this work
  • City University of Hong Kong
  • Shanghai Jiao Tong University
  • Columbia University
  • University of New South Wales

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study facility location games with externalities where agents are located on a real line and divided into groups. The cost of an agent is affected by the facility location and their group members. The goal is to design mechanisms to locate a facility to approximately optimize group-fair objectives while eliciting the agents' locations truthfully. We consider two types of group interactions: competitive and collaborative, and two group-fair objectives, minimizing the maximum total group cost and minimizing the maximum average group cost. For each scenario, we analyze classic mechanisms, presenting their approximation ratios, and introduce new mechanisms that achieve improved approximation ratios. Additionally, we establish tight lower bounds for each setting, demonstrating that our mechanisms are the best possible.

Original languageEnglish
Title of host publicationProceedings of the 24th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2025
EditorsYevgeniy Vorobeychik, Sanmay Das, Ann Nowe
PublisherInternational Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
Pages2615-2617
Number of pages3
ISBN (Electronic)9798400714269
StatePublished - 2025
Externally publishedYes
Event24th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2025 - Detroit, United States
Duration: 19 May 202523 May 2025

Publication series

NameProceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
ISSN (Print)1548-8403
ISSN (Electronic)1558-2914

Conference

Conference24th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2025
Country/TerritoryUnited States
CityDetroit
Period19/05/2523/05/25

Keywords

  • Externality
  • Facility Location
  • Group Fairness

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